In the figure above, triangle ABC is similar to triangle DEF. What is the value of cos(E)?
2 answers:
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*See attached picture showing the dot plots referred to
Answer:
16mm
Step-by-step Explanation:
Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.
Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.
From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.
Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.
To solve this, we just need to find the distance between the points A and B in the number line, and then, divide that distance by 2.
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
and 
, so lets replace the values:
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4